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-5s^2+7s+1=0
a = -5; b = 7; c = +1;
Δ = b2-4ac
Δ = 72-4·(-5)·1
Δ = 69
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{69}}{2*-5}=\frac{-7-\sqrt{69}}{-10} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{69}}{2*-5}=\frac{-7+\sqrt{69}}{-10} $
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